A sinusoidal voltage of peak value 283 V and angular frequency 320 s − 1 is applied to a series L C R circuit. Given that R = 5Ω , L = 25 mH and C = 1000 μF . The total impedance and phase difference

Question

A sinusoidal voltage of peak value 283 V and angular frequency 320 s − 1 is applied to a series L C R circuit. Given that R = 5Ω , L = 25 mH and C = 1000 μF . The total impedance and phase difference between the voltage across the source and the current will respectively be-

TestHub · Accepted Answer

ϵ 0 ​ = 283 v o lt , ω = 320 s − 1 X L ​ = 320 × 25 × 1 0 − 3 = 8Ω X C ​ = ω C 1 ​ = 320 × 1000 × 1 0 − 6 1 ​ X C ​ = 320 10000 ​ = 3.1Ω R = 5Ω Z = R 2 + ( X L ​ − X C ​ ) 2 ​ = 50 ​ ≈ 7Ω tan ϕ = R X L ​ − X C ​ ​ = 1 ⟹ ϕ = 4 5 o

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